{
  "id": "2003.12219",
  "version": "v1",
  "published": "2020-03-27T03:39:07.000Z",
  "updated": "2020-03-27T03:39:07.000Z",
  "title": "Some homological properties of ind-completions and highest weight categories",
  "authors": [
    "Kevin Coulembier"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We demonstrate equivalence between two definitions of lower finite highest weight categories. We also show that, in the presence of a duality, a lower finite highest weight structure on a category is unique. Finally, we give a new proof for the fact that any abelian category is extension full in its ind-completion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-27T03:39:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homological properties",
      "lower finite highest weight structure",
      "ind-completion",
      "lower finite highest weight categories",
      "abelian category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}